72345654301 has 2 divisors, whose sum is σ = 72345654302. Its totient is φ = 72345654300.

The previous prime is 72345654263. The next prime is 72345654331. The reversal of 72345654301 is 10345654327.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59824268100 + 12521386201 = 244590^2 + 111899^2 .

It is a cyclic number.

It is not a de Polignac number, because 72345654301 - 2²¹ = 72343557149 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72345654331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36172827150 + 36172827151.

It is an arithmetic number, because the mean of its divisors is an integer number (36172827151).

Almost surely, 2^72345654301 is an apocalyptic number.

It is an amenable number.

72345654301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72345654301 is an equidigital number, since it uses as much as digits as its factorization.

72345654301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 72345654301 in words is "seventy-two billion, three hundred forty-five million, six hundred fifty-four thousand, three hundred one".